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Discusston #IS _ TnermodynamiesPHY I7 oz: SusttsWork done during thermodynamic rocti monoatomic gas expand from point point along the path snoum in the pressure v...

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Discusston #IS _ TnermodynamiesPHY I7 oz: SusttsWork done during thermodynamic rocti monoatomic gas expand from point point along the path snoum in the pressure versus volume graph below:Find the work done by the gas expanding from point _anlumcVIm7pointeIf the temperature of the gas is 220 K at point what is its temperature at point C?How much heat added to removed from the system during the process if te internal change in energy during the entire process is 24x [06 J?

Discusston #IS _ Tnermodynamies PHY I7 oz: Sustts Work done during thermodynamic rocti monoatomic gas expand from point point along the path snoum in the pressure versus volume graph below: Find the work done by the gas expanding from point _ anlumcVIm7 pointe If the temperature of the gas is 220 K at point what is its temperature at point C? How much heat added to removed from the system during the process if te internal change in energy during the entire process is 24x [06 J?



Answers

Find the work done by a monatomic ideal gas as it expands from point A to point $C$ along the path shown in Figure $18-22 .$ (b) If the temperature of the gas is $220 \mathrm{K}$ at point $\mathrm{A}$, what is its temperature at point $\mathrm{C} ?$ (c) How much heat has been added to or removed from the gas during this process?

We have to find the value of verdant and internal energy for conscience, pressure and volume solution. This is a part full constant volume. Full constant volume. And some values are given that three g three g krypton. It's all today for each kilogram golf script and documents mask is equal to three grandma's krypton. And the value of temperature change temperature change difficult from -20°C To 80°C. So first at constant volume had this is right at constant volume. We know that Delta B is equal to zero and the work done, the value of Bergen is equal to barbara, Eden. The value is equal to p delta V. So P is multiplied by Jiro. So this is a bargain is equal to zero. So the first part is said that the value the value of our garden. Mhm. Jiro. So now we can say that the value of our garden is equal to general. And the 2nd 1 is that changing internal energy. Second, a change in internal energy. We know that delta Q. Is equal to delta. You plunged a blue and this is By 1st Law of Thermodynamics. So here market and is Jiro. So delta you should be called to delta U. Plus general. So this is equal to delta you. So the value of changing internal energy is equal to that. The value of internal energy is equal to that. Mhm. So here we can right there, it's there. And further we know that the value of delta Q should be equal to M C B. Delta T. So the value of M is equal to 3000 and C. B. Is given by jean 0.357. And the temperature should be called 18 minus of minus 20. By solving this by girl. That is the value. Is that 10,710 calories in other phone. We can right there uh in other forms we can write that. The value is 10.71 kg calorie and approximately can return that 11 kilocalories. So now the value of Delta. You should be equal to Delta U. is equal to 10.71. The local And 10.71 is multiplied by 4.184. And we get this in form of jewels. So the value of delta, you should be able to 44.81 kg jewel. In other form delta you should be equal to 45 Pillow Juice. So the next one is the value of internal energy equal to 45 june. Similarly have to find the value of B. Parts but at punched and pressure. So the 2nd party is dead. This is be part X. Constant. Let's start. We know that the in Turkey should be equal to M. c. p. dale 30 at constant pressure. And the value is given that 3000 is multiplied by Europe. on Jiro 595 is multiplied by 18- of -20. by solving this bigger the value of data you should be pulled to 17,850 calories. Otherwise 17.85 kg calories. So the value of delta you should be equal to 18 kg candy. So the value of youth should be equal to 18 you know killed. And the next one is that we can right this is there too. Vicodin showed. The value of Vicodin is equal to minus P. Delta V. So this is we can right there another phone. P. Bill to -71. What is this is positive. So we can write this and are still to minor steven. So that by solving this p Energy equal to 3000 upon 84. And our should be called to 3.133.831 34 38.314. And the value of teachable to 80 minus minus 20. So by solving this we get this is the 29 692 Jewel in other forms. 29.69. Kill a jew. So the value of our credential. We want to totally ecological approximately. But this is the value of But the gun. And the last one is we have to find that is the internal energy. So the value of internal energy is Jack. We know that delta U. Is equal to delta Q minus W. So this is delta political to 75 minus 30. And the United kill a jew. So the value 8 45 pillow June. So we can say that the change in internal energy for 245. Hello julie. So now we can see that this is the on that. So for first 12th part we can see that their pizza. This is the full constant volume. We can see that The value of Bergen should be equal to zero and the value of internal energy and but he should be called to. This is the value of Delta. You should be equal to 45 close Jewel. And the value of Delta two is equal to. We can see that the dollar answer

Okay, So in this problem, the first tight end of this problem, we have to draw up evey diagram for a kind of temer dynamic process. So we have a guess under ah type of terminating MK process. So let's put here the access. So let's see, this is going to be be excess. And here we have the V excess. We have a point in here. So here we have the point A and go from a to be. So here we have a point. Be so the direction off the process is this one. This is the arrow. Then we go from point B two point. See? So let's put in here. Um f line. So here from here we have the point c. So this is their point. See? Okay. And finally from point C two point a, we have or final transformation, which is ah isa coric transformation. So the problem's say's that this is an ISA term of transformation from A to B then from me, just see So we have an arrow and here we have, uh I za barrick transformation, which means constant pressure. And finally, from C to a we have eyes a correct transformation, which means constant volume. So that's the first I didn't have to just drop dead, right? The diagram. The second item of this problem, I thin I can be We have to We have to calculate how much work was done by or own these guests. So first of all, we know that the work from A to B is going to be equal according to the first law of thermodynamics going to be equal. The heat observed by, uh actually negative work is going to be equal. The heat observed by the guess. So the heat absorbed by the guess is equal 35 Jones. Which means we can say that the work done hopes this is a really bad w. So there were done by the gas From point A to point B is going to be negative. 35 Zhao's No, they'll work from be to see is going to be equal 20 to gels because is the part off compression. So we going for higher volume, two smaller volume. So this is the compression and the work done on the guests is 22 Joes and finally their work from sea to way is going to be CO zero because is Aiso correct for information, which means constant followem. Therefore, always every time we have transformation with constant volume, the work done is going to be zero. Therefore, we can say finally that the answer to this item, which is total work, it's going to be negative. 35 loss 22 which is equal negative, equal, negative. 13 jaws. Which brings the the guests does Ah, work off negative. 13 jobs is negative. Sign means that the work is being done by the guess. Okay. And finally let's see, we went to Khalkhali. Uh, what is the value off the heat that's put in another color? What is the value off the heat and the transformation B to C to A. Okay, so how are we going to calculate is let's remember that the total, uh, the total heat off the off the guests is going to be equal. It's going to be equal the heat from a to be pull us the hit from me to see to a again and according to the first law of thermodynamics to a full cycle off process, the total heat is going to be called the negative Toto work. The total work we already calculated is just negative 13. So we can say that the heat that we want to discover So the heat from the C A is going to be equal negative. Total work minus Let's put here minus the hit from a to be Ah, the heat from A to B we already have is just 35. Therefore, we can see where we can see the and doing worse 13 liners already life, which is equal negative 22 jowls. And that's the final answer to this problem. Thanks for watching.

I guess I'm doing problem. 18 from chapter 18. That's us to find the work done by a mom. Atomic ideal gas as expanse from point A to point C along a point along a path that's given to us in a diagram. Okay, so the diagram look, something like this. Lips. This is a straight line year, something like that. Okay, so we're gonna talk about dividing this diagram up into several different parts. So this is in a piece in the PV plane. Um, so in order to find the work done by any process in a PV diagram Ah, we need to find the area underneath the curve. Okay, So how do we do this? Well, there's no need to do any actual integration here because everything is sort of a geometric figure that we could find the area of OK. So number one, I would suggest finding the area of this rectangle here, and that's not too hard. Um, so it's just, you know, with times height, and then I suggest finding the area of this triangle on this side 1/2 base times height, of course. And then that area of this triangle here and then the area of this rectangle here. Okay, so if we add all those up, gonna go ahead and adult ease up, so I'm going to omit the units. But the units on the Y axis are in Kila Pascal's and the units on the X axis are cubic meters. So when I multiply two of them together, I'll get killer Jules, which is good, because I should get some unit of work and jewels and kill Jules air units of works. That's good. So that work is equal to 200 times eight plus 1/2 times, 400 times, two post 1/2 oops. Times 200 times. Two plus Just write it down a little bit lower. 200 times two. Okay, so this is the entire expression for the work price of 200 times eight is the area of this bottom rectangle. 1/2 times, 400 times two. Is this triangle here? Ah, 1/2 times. 200 times two. Is this smaller triangle appear And 200 times two is the area of this rectangle. Okay, So, adding those altogether we get 2600 killer Jules. Okay, So that had to be our answer Offer part one. So 2600 killed. Jules, we just get by adding together all the areas underneath the curve. Okay, so then for part two and asks for be it Asked if the temperature of the gas is 267 Kelvin at point A. Was its temperature at point C. Okay, so point a is here, and point C is here. Okay. And now we know we have a montage montage, make ideal gas, and we know that point a and see the pressure is the same. So because of that, we can set up the equation. T one over V one is equal to tea, too. Over 32 Okay, so this the teas air the temperatures at times one and two, and the V's are the volumes at times went into. And so here, 0.1 is going to be a point. And, um, 0.0.2 is actually going to be a point c. Okay, so if we put these in, we know we know what the volume is from just looking at this graph. Because we can just read the volumes off the X axis here and were given the temperature of point Day. So we know all these things, and so we can go ahead and find, um, tea, too. And it turns out the t two is something like 1330 Kelvin. Okay, so that's the answer to Part B. Ah, fairly straightforward. Especially if you know this. If you don't know this equation, Um, but you know, the ideal Gasol, you know, you should be able to derive it pretty straightforwardly. Um, right, if he said p vehicles on our T, that's true at all times for an ideal gas. And if you know that the pressure isn't changing, then you know that an arty over V at 0.1 has to be an arty over via 0.2. And so this implies that t over V is equal to t over V at different, different point. Okay, so now let's go on to part see Percy how much heat has been added to or removed from the gas during this process. So we know the amount of work that's been done from the process from part a part, uh, party. We found that their 2600 killer Jules of work being done. Um, but in order to get the heat. We're also going to need to know the internal energy because he was adult. The you plus W right. So we also need the change Internal energy, Delta U Usually we think of as three halves Ah, and our delta T but an equivalent way of thinking about that with, um with a mom. Atomic ideal gas, Just three halves p Delta V. Okay. So as it goes from point A to point C, we can find the change in volume Delta V just from reading off the graph. And we could find P from reading off the graph so we can find guilty you and then using Delta you caused LTU is equal to, um, LTU is equal to 2400 Killer Jules. Okay, so then plugging back in Q. Is lt you plus W? It's approximately five 1000 kill Jules or five Mega Jules, and that's a foul answer

Hi. Let us again Look at the realistic situation for first love thermodynamics and try to solve some problems. So let's say you supply some heat to a guess. Uhh. Our Q. Um, since we're not at the word engines, let's just call it you. You're supplying a heat, or that's a 606. Jules, I'm you do a word, which is equal to quarter under 18 Jude's. No, this is the heat supplied to the guests, and this is worked on by the guests. So if you recall over sign, convention work done by the guest is always positive and heat added to the guests. Is pelvis positive he taken away from the system? Or guess isn't get to and work then on the system or gas is negative. So in this case, what these quantities are going to be positive. So we'll tell you. I was given by Q minus W. And since we deter mined, both of them are positive. Then we're going to get 606 jewels minus 418 jewels equals 188 shoes. As I would answer Now, let us imagine that you wanted to do more work. Let's say you wanted to. I would 1212 Jews. So in that case, if you're in trouble and really change, you wanted to keep it the same. How much you do need to provide? It's a Q. Is still tell you rest of new if you want. You don't tell you to be the same. This is going to be 1 88 plus No, you want more work? Sexual? Tell Jules. So this if you read this up, the total seed you need to provide is 1400 jewels. So these are basically expressions off. Just conservation Affinity. If you remember that part, then you can solve most of these problems.


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